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Finding the Fourth Proportional to 1,924.59, 2,886.51 and 754.23

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Solution

The fourth proportional to 1,924.59, 2,886.51 and 754.23 is: 1,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.59 : 2,886.51 = 754.23 : x
  2. Step 2: Convert to fraction form
    1,924.59/2,886.51 = 754.23/x
  3. Step 3: Cross multiply
    1,924.59x = 2,886.51 × 754.23
  4. Step 4: Simplify right side
    1,924.59x = 2,177,092.44
  5. Step 5: Solve for x
    x = 2,177,092.44/1,924.59
  6. Step 6: Final answer
    x = 1,131.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.